\contentsline {chapter}{\tocchapter {Chapter}{}{ABSTRACT}}{3}{section*.1}
\contentsline {chapter}{\tocchapter {Chapter}{}{Acknowledgements}}{4}{chapter*.2}
\contentsline {chapter}{\tocchapter {Chapter}{}{Preface}}{5}{chapter*.3}
\contentsline {chapter}{\tocchapter {Chapter}{}{List of Tables}}{8}{chapter*.4}
\contentsline {chapter}{\tocchapter {Chapter}{}{List of Figures}}{9}{chapter*.4}
\contentsline {chapter}{\tocchapter {Chapter}{1}{Introduction}}{10}{chapter.1}
\contentsline {section}{\tocsection {}{1.1}{Introduction}}{10}{section.1.1}
\contentsline {section}{\tocsection {}{1.2}{Scope of Thesis}}{10}{section.1.2}
\contentsline {section}{\tocsection {}{1.3}{Thesis Outline}}{10}{section.1.3}
\contentsline {chapter}{\tocchapter {Chapter}{2}{Background}}{11}{chapter.2}
\contentsline {section}{\tocsection {}{2.1}{Bayesian Framework for Image Restoration}}{13}{section.2.1}
\contentsline {section}{\tocsection {}{2.2}{Bayesian Modelling of Blind Image Deconvolution}}{14}{section.2.2}
\contentsline {subsection}{\tocsubsection {}{2.2.1}{Observation Model}}{14}{subsection.2.2.1}
\contentsline {subsection}{\tocsubsection {}{2.2.2}{Parametric Prior Blur Models}}{15}{subsection.2.2.2}
\contentsline {subsubsection}{\tocsubsubsection {}{}{Linear Motion Blur}}{15}{section*.5}
\contentsline {subsubsection}{\tocsubsubsection {}{}{Atmospheric Turbulence Blur}}{16}{section*.6}
\contentsline {subsubsection}{\tocsubsubsection {}{}{Out-of-Focus Blur}}{16}{section*.7}
\contentsline {subsection}{\tocsubsection {}{2.2.3}{Prior Image and Blur Models}}{17}{subsection.2.2.3}
\contentsline {subsubsection}{\tocsubsubsection {}{2.2.3.1}{Stationary Gaussian Models}}{17}{subsubsection.2.2.3.1}
\contentsline {subsubsection}{\tocsubsubsection {}{2.2.3.2}{Autoregressive Models}}{18}{subsubsection.2.2.3.2}
\contentsline {subsubsection}{\tocsubsubsection {}{2.2.3.3}{Markov Random Field Models}}{19}{subsubsection.2.2.3.3}
\contentsline {subsubsection}{\tocsubsubsection {}{2.2.3.4}{Anisotropic Diffusion and Total Variation Type Models}}{20}{subsubsection.2.2.3.4}
\contentsline {subsection}{\tocsubsection {}{2.2.4}{Hyperprior Models}}{23}{subsection.2.2.4}
\contentsline {section}{\tocsection {}{2.3}{Bayesian Inference Methods}}{24}{section.2.3}
\contentsline {subsection}{\tocsubsection {}{2.3.1}{Maximum a Posteriori and Maximum Likelihood}}{25}{subsection.2.3.1}
\contentsline {subsubsection}{\tocsubsubsection {}{2.3.1.1}{Iterated Conditional Modes}}{27}{subsubsection.2.3.1.1}
\contentsline {subsection}{\tocsubsection {}{2.3.2}{Minimum Mean-Squared Error}}{28}{subsection.2.3.2}
\contentsline {subsection}{\tocsubsection {}{2.3.3}{Marginalizing Hidden Variables}}{28}{subsection.2.3.3}
\contentsline {subsection}{\tocsubsection {}{2.3.4}{Variational Bayesian Approach}}{29}{subsection.2.3.4}
\contentsline {subsection}{\tocsubsection {}{2.3.5}{Sampling Methods}}{29}{subsection.2.3.5}
\contentsline {chapter}{\tocchapter {Chapter}{3}{Generalized Gaussian Markov Random Field Image Restoration Using Variational Distribution Approximation}}{30}{chapter.3}
\contentsline {section}{\tocsection {}{3.1}{Bayesian Modeling}}{31}{section.3.1}
\contentsline {subsection}{\tocsubsection {}{3.1.1}{First stage: prior models on image and observation}}{31}{subsection.3.1.1}
\contentsline {subsection}{\tocsubsection {}{3.1.2}{Second stage: hyperprior on the hyperparameters}}{33}{subsection.3.1.2}
\contentsline {section}{\tocsection {}{3.2}{Inference and Variational Approximation}}{33}{section.3.2}
\contentsline {section}{\tocsection {}{3.3}{Experimental Results}}{39}{section.3.3}
\contentsline {section}{\tocsection {}{3.4}{Conclusions}}{40}{section.3.4}
\contentsline {chapter}{\tocchapter {Chapter}{}{References}}{43}{section.3.4}
\contentsline {chapter}{\tocappendix {Appendix}{{}}{Title of Appendix}}{48}{chapter.1}
\contentsline {section}{\tocsection {}{1}{First section of Appendix}}{48}{section.1.1}
\contentsline {subsection}{\tocsubsection {}{1.1}{First subsection of Appendix}}{48}{subsection.1.1.1}
\contentsline {subsubsection}{\tocsubsubsection {}{1.1.1}{First subsubsection of Appendix}}{48}{subsubsection.1.1.1.1}
\contentsline {chapter}{\tocappendix {Appendix}{}{Vita}}{49}{subsubsection.1.1.1.1}
